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Finding the Third Proportional to 3,165.75 and 6,775.31

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Solution

The third proportional to 3,165.75 and 6,775.31 is: 14,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.75 : 6,775.31 = 6,775.31 : x
  2. Step 2: Convert to fraction form
    3,165.75/6,775.31 = 6,775.31/x
  3. Step 3: Cross multiply
    3,165.75x = 6,775.31 × 6,775.31
  4. Step 4: Simplify right side
    3,165.75x = 45,904,859.47
  5. Step 5: Solve for x
    x = 45,904,859.47/3,165.75
  6. Step 6: Final answer
    x = 14,500.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.